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Finding the Fourth Proportional to 19,762, 29,657.56 and 9,373.76

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Solution

The fourth proportional to 19,762, 29,657.56 and 9,373.76 is: 14,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762 : 29,657.56 = 9,373.76 : x
  2. Step 2: Convert to fraction form
    19,762/29,657.56 = 9,373.76/x
  3. Step 3: Cross multiply
    19,762x = 29,657.56 × 9,373.76
  4. Step 4: Simplify right side
    19,762x = 278,002,849.63
  5. Step 5: Solve for x
    x = 278,002,849.63/19,762
  6. Step 6: Final answer
    x = 14,067.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.